THE CONCEPT OF OPTIMAL BAR ROLL DESIGN. REPORT 1. BASIC PROVISIONS

Now, at emergence of need for rolling of a more difficult bar profile, than standard, development of new rolls design is, substantially, the unformalized procedure. At the same time rather often questions of any optimality of new design aren’t considered at all, being limited to her technical rationality, or are postponed for the second stage – improvement of design in the course of profile production. It is shown that bar rolls design considered as the variable system of calibers, completely corresponds to all signs of the standard concept of the “system”. Therefore, it can be used as the object subjected to optimization with the use of standard methods and procedures of the theory of systems. Calibration of rolls is considered as technological system, and applying the modern ideology of system approach to her description, the universal optimizing model was constructed, directed to design the optimum calibrations applied at rolling any high-quality profiles. The model of the two-stage solution of an optimizing problem of calibration design is applied and it allows using one or two criteria of optimality at different stages of the solution. The generalized algorithm is presented for the solution of an optimizing problem of calibration design of any complexity. According to the accepted concept, at the first design stage the choice of the optimum design scheme is made for specific conditions of the rolling mill, and at the second stage, for the chosen scheme the optimum mode of sinking is generated and the sizes of the used calibers are defined. For implementation of the offered concept and its description, along with the standard terms and formulations, a number of the concepts which don’t have wide use in the theory of rolling are entered. The similar concepts and formulations known from the theory of systems, the theory of optimum control, physics and mathematics are taken for a basis of formation and formulation of such concepts. In particular, such concepts as “Space of calibers”, “Generalized caliber”, “Space of calibrations”, “Efficiency indicators”, “Generating calibration function”, “Space of the sinking modes “, “Generating function of the sinking modes” and others are entered. The essence of these new concepts was stated. More detailed description of separate blocks of optimizing model will be presented in the subsequent articles.

bar rolling, bar sections, rolls design, groove, system analysis, optimization of rolls design, optimality criterion

1. Smirnov V.K., Shilov V.A., Inatovich Yu.V. Kalibrovka prokatnykh valkov [Rolls design]. Moscow: Teplotekhnik, 2010, 490 p. (In Russ.).

2. Ilyukovich B.M., Nekhaev M.E., Merkur’ev S.E. Prokatka i kalibrovka [Rolling and rolls design]. Ilyukovich B.M. ed. Vols.1-6. Dnepropetrovsk: Dnipro-VAL, 2002. (In Russ.).

3. Bakhtinov B.P., Shternov M.M. Kalibrovka prokatnykh valkov [Rolls design]. Moscow: Metallurgizdat, 1953, 783 p. (In Russ.).

4. Khaikin B.E., Kozlov V.V. Uniform mathematical model of processes of rolling of simple and shaped profiles. In: Obrabotka metallov davleniem [Metal forming]. Sverdlovsk: UPI, 1983, no. 1, pp. 58–61. (In Russ.).

5. Sadovskii V.N. Sistemnyi podkhod i obshchaya teoriya sistem: status, osnovnye problemy i perspektivy razvitiya [System approach and general theory of systems: status, main problems and prospects of development]. Moscow: Nauka, 1980, 384 p. (In Russ.).

6. Shchedrovitskii G.P. Principles and general scheme of the methodological organization of system and structural research and development. In: Sistemnye issledovaniya. Metodologicheskie problemy: Ezhegodnik 1981 [System research. Methodological problems: Yearbook 1981]. Moscow: Nauka, 1981, pp. 193–227. (In Russ.).

7. Mesarovic M.D., Takahara Yasuhiko. General systems theory: mathematical foundations. New York: Academic Press, 1975, 268 p. (Russ.ed.: Mesarovic M., Takahara Ya. Obshchaya teoriya sistem: matematicheskie osnovy. Moscow: Mir, 1978.).

8. Egorov A.I. Osnovy teorii upravleniya [Bases of management theory]. Moscow: Fizmatlit, 2007, 504 p. (In Russ.).

9. Ackoff Russell L., Sasieni M. Fundamentals of Operations Research. New York: John Wiley & Sons, 1968. (Russ.ed.: Ackoff  R.L., Sasieni M. Osnovy issledovaniya operatsii. Moscow: Mir, 1971, 536 p.).

10. Taha Hamdy A. Operations research: An introduction. New York; London: Macmillan Publishing Co, 1982, 848 p. (Russ.ed.: Taha H. Vvedenie v issledovanie operatsii. Vols. 1-2. Vol. 1. Moscow: Mir, 1985, 480 p.).

11. Taha Hamdy A. Operations research: An introduction. New York; London: Macmillan Publishing Co, 1982, 848 p. (Russ.ed.: Taha H. Vvedenie v issledovanie operatsii. Vols. 1-2. Vol. 2. Moscow: Mir, 1985, 480 p.).

12. Mikhailenko A.M., Shvarts D.L. System approach to optimization of rolls design. Proizvodstvo prokata. 2016, no. 12, pp. 29–32. (In Russ.).

13. Kalugina O.B., Kinzin D.I., Moller A.B. Increasing energy efficiency of the process of flat and-edge rolling by means of optimizationof the shape of roll-pass. Izvestiya VUZov. Chernaya metallurgiya = Izvestiya. Ferrous Metallurgy. 2013, no. 10, pp. 10–12. (In Russ.).

14. Kinzin D.I. Optimization of a breakdown passes shape according to the criterion of maximal ratio of deformation efficiency. Chernye metally. 2014, no. 6, pp. 45-48. (In Russ.).

15. Levandovskii S.A., Sinitskii O.V., Ruchinskaya N.A. Experience of optimization the shape of calibers by criterion of deformation unevenness. Kalibrovochnoe byuro [Electronic resource]. 2014, Issue 3, pp. 52–80. Available at URL: http://passdesign.ru/index. php?option=com_content&view=article&id=76&Itemid=108 (In Russ.).

16. Levandovskii S.A., Moller A.B., Nazarov D.V., Zaitsev A.A. Improvement of the existing technological schemes of rolling on the basis of optimization of shape of calibers for the purpose of quality improvement of high-quality production. Modelirovanie i razvitie protsessov OMD. 2006, no. 1, pp. 129–137. (In Russ.).

17. Skorokhodov A.N., Polukhin P.I., Ilyukovich B.M. etc. Optimizatsiya prokatnogo proizvodstva [Optimization of rolling production]. Moscow: Metallurgiya, 1983, 432 p. (In Russ.).

18. Shilov V.A., Ponomarev A.A. Optimization of the technological modes of rolling by criteria of mechanical properties. Proizvodstvo prokata. 2013, no. 2, pp. 14–19. (In Russ.).

19. Davaasambuu Ch., Shilov V.A., Inatovich Yu.V. Optimization of the technological modes of rolling on a 330 rolling mill of Darhan Metallurgical Plant. Izvestiya VUZov. Chernaya metallurgiya = Izvestiya. Ferrous Metallurgy. 2002, no. 3, p. 36. (In Russ.).

20. Khokhlov S.A., Perunov G.P., Volkov K.V., Limankin V.V, Inatovich Yu.V. Optimization of rolling modes of bar sections on 320/150 rolling mill. Stal’. 2010, no. 12, pp. 38–40. (In Russ.).